1002002013100 has 72 divisors (see below), whose sum is σ = 2373611079168. Its totient is φ = 364118740800.

The previous prime is 1002002013043. The next prime is 1002002013151. The reversal of 1002002013100 is 13102002001.

It is a super-2 number, since 2×1002002013100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329409 + ... + 1941991.

It is an arithmetic number, because the mean of its divisors is an integer number (32966820544).

Almost surely, 2^{1002002013100} is an apocalyptic number.

1002002013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002002013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186805539584).

1002002013100 is an abundant number, since it is smaller than the sum of its proper divisors (1371609066068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002002013100 is a wasteful number, since it uses less digits than its factorization.

1002002013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614095 (or 614088 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1002002013100 its reverse (13102002001), we get a palindrome (1015104015101).

The spelling of 1002002013100 in words is "one trillion, two billion, two million, thirteen thousand, one hundred".